{"id":"https://openalex.org/W3042624137","doi":"https://doi.org/10.1109/jproc.2020.3014069","title":"Monotonicity Properties of Physical Network Flows and Application to Robust Optimal Allocation","display_name":"Monotonicity Properties of Physical Network Flows and Application to Robust Optimal Allocation","publication_year":2020,"publication_date":"2020-08-14","ids":{"openalex":"https://openalex.org/W3042624137","doi":"https://doi.org/10.1109/jproc.2020.3014069","mag":"3042624137"},"language":"en","primary_location":{"id":"doi:10.1109/jproc.2020.3014069","is_oa":false,"landing_page_url":"https://doi.org/10.1109/jproc.2020.3014069","pdf_url":null,"source":{"id":"https://openalex.org/S68686220","display_name":"Proceedings of the IEEE","issn_l":"0018-9219","issn":["0018-9219","1558-2256"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the IEEE","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2007.10271","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103153799","display_name":"Sidhant Misra","orcid":"https://orcid.org/0000-0002-9064-0348"},"institutions":[{"id":"https://openalex.org/I1343871089","display_name":"Los Alamos National Laboratory","ror":"https://ror.org/01e41cf67","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I1343871089","https://openalex.org/I198811213","https://openalex.org/I4210120050"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Sidhant Misra","raw_affiliation_strings":["Los Alamos National Laboratory, Los Alamos, USA","Los Alamos National Laboratory, Los Alamos, NM USA"],"affiliations":[{"raw_affiliation_string":"Los Alamos National Laboratory, Los Alamos, USA","institution_ids":["https://openalex.org/I1343871089"]},{"raw_affiliation_string":"Los Alamos National Laboratory, Los Alamos, NM USA","institution_ids":["https://openalex.org/I1343871089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063198169","display_name":"Marc Vuffray","orcid":"https://orcid.org/0000-0001-7999-9897"},"institutions":[{"id":"https://openalex.org/I1343871089","display_name":"Los Alamos National Laboratory","ror":"https://ror.org/01e41cf67","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I1343871089","https://openalex.org/I198811213","https://openalex.org/I4210120050"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Marc Vuffray","raw_affiliation_strings":["Los Alamos National Laboratory, Los Alamos, USA","Los Alamos National Laboratory, Los Alamos, NM USA"],"affiliations":[{"raw_affiliation_string":"Los Alamos National Laboratory, Los Alamos, USA","institution_ids":["https://openalex.org/I1343871089"]},{"raw_affiliation_string":"Los Alamos National Laboratory, Los Alamos, NM USA","institution_ids":["https://openalex.org/I1343871089"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024207408","display_name":"Anatoly Zlotnik","orcid":"https://orcid.org/0000-0002-2646-8264"},"institutions":[{"id":"https://openalex.org/I1343871089","display_name":"Los Alamos National Laboratory","ror":"https://ror.org/01e41cf67","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I1343871089","https://openalex.org/I198811213","https://openalex.org/I4210120050"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Anatoly Zlotnik","raw_affiliation_strings":["Los Alamos National Laboratory, Los Alamos, USA","Los Alamos National Laboratory, Los Alamos, NM USA"],"affiliations":[{"raw_affiliation_string":"Los Alamos National Laboratory, Los Alamos, USA","institution_ids":["https://openalex.org/I1343871089"]},{"raw_affiliation_string":"Los Alamos National Laboratory, Los Alamos, NM USA","institution_ids":["https://openalex.org/I1343871089"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5103153799"],"corresponding_institution_ids":["https://openalex.org/I1343871089"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.06128775,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"108","issue":"9","first_page":"1558","last_page":"1579"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11185","display_name":"Integrated Energy Systems Optimization","score":0.9914000034332275,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11185","display_name":"Integrated Energy Systems Optimization","score":0.9914000034332275,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9900000095367432,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.989799976348877,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.6622686982154846},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.6223896145820618},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.561455488204956},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5524536371231079},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.5169988870620728},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.4658763110637665},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4647746682167053},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4591398239135742},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.4527474045753479},{"id":"https://openalex.org/keywords/neumann-boundary-condition","display_name":"Neumann boundary condition","score":0.4447086453437805},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.44310498237609863},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.43743669986724854},{"id":"https://openalex.org/keywords/dissipation","display_name":"Dissipation","score":0.43236997723579407},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4047064185142517},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.383894145488739},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.325316846370697},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24417534470558167},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1680467426776886},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13539889454841614}],"concepts":[{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.6622686982154846},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.6223896145820618},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.561455488204956},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5524536371231079},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.5169988870620728},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4658763110637665},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4647746682167053},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4591398239135742},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.4527474045753479},{"id":"https://openalex.org/C163681178","wikidata":"https://www.wikidata.org/wiki/Q1149279","display_name":"Neumann boundary condition","level":3,"score":0.4447086453437805},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.44310498237609863},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.43743669986724854},{"id":"https://openalex.org/C135402231","wikidata":"https://www.wikidata.org/wiki/Q898440","display_name":"Dissipation","level":2,"score":0.43236997723579407},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4047064185142517},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.383894145488739},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.325316846370697},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24417534470558167},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1680467426776886},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13539889454841614},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/jproc.2020.3014069","is_oa":false,"landing_page_url":"https://doi.org/10.1109/jproc.2020.3014069","pdf_url":null,"source":{"id":"https://openalex.org/S68686220","display_name":"Proceedings of the IEEE","issn_l":"0018-9219","issn":["0018-9219","1558-2256"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the IEEE","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2007.10271","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2007.10271","pdf_url":"https://arxiv.org/pdf/2007.10271","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:3042624137","is_oa":true,"landing_page_url":"http://arxiv.org/pdf/2007.10271.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.2007.10271","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2007.10271","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2007.10271","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2007.10271","pdf_url":"https://arxiv.org/pdf/2007.10271","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":92,"referenced_works":["https://openalex.org/W5525483","https://openalex.org/W112133301","https://openalex.org/W132068573","https://openalex.org/W135336401","https://openalex.org/W150252897","https://openalex.org/W638035234","https://openalex.org/W1489222793","https://openalex.org/W1500914715","https://openalex.org/W1515029502","https://openalex.org/W1736530648","https://openalex.org/W1927782658","https://openalex.org/W1936317424","https://openalex.org/W1964119857","https://openalex.org/W1971414972","https://openalex.org/W1973132297","https://openalex.org/W1977710803","https://openalex.org/W1995285162","https://openalex.org/W2002531683","https://openalex.org/W2004308928","https://openalex.org/W2004452669","https://openalex.org/W2007894170","https://openalex.org/W2009573643","https://openalex.org/W2012767852","https://openalex.org/W2017002354","https://openalex.org/W2020406297","https://openalex.org/W2025168674","https://openalex.org/W2029328868","https://openalex.org/W2029673229","https://openalex.org/W2053249360","https://openalex.org/W2057882588","https://openalex.org/W2065853193","https://openalex.org/W2067616501","https://openalex.org/W2071253378","https://openalex.org/W2071715527","https://openalex.org/W2075419914","https://openalex.org/W2075887074","https://openalex.org/W2076171427","https://openalex.org/W2078590437","https://openalex.org/W2081000266","https://openalex.org/W2081166522","https://openalex.org/W2089105401","https://openalex.org/W2092652152","https://openalex.org/W2094394292","https://openalex.org/W2099204669","https://openalex.org/W2102694374","https://openalex.org/W2110397909","https://openalex.org/W2133182510","https://openalex.org/W2135986386","https://openalex.org/W2136020357","https://openalex.org/W2147631821","https://openalex.org/W2147741970","https://openalex.org/W2155899425","https://openalex.org/W2165775468","https://openalex.org/W2166127999","https://openalex.org/W2167106488","https://openalex.org/W2170344117","https://openalex.org/W2299635917","https://openalex.org/W2309232702","https://openalex.org/W2336423693","https://openalex.org/W2403192619","https://openalex.org/W2462501902","https://openalex.org/W2490056237","https://openalex.org/W2540507611","https://openalex.org/W2566456037","https://openalex.org/W2603680524","https://openalex.org/W2622130886","https://openalex.org/W2626415920","https://openalex.org/W2790029895","https://openalex.org/W2793258660","https://openalex.org/W2883718999","https://openalex.org/W2929943933","https://openalex.org/W2962826548","https://openalex.org/W2963046324","https://openalex.org/W2963504183","https://openalex.org/W2963528888","https://openalex.org/W2963609158","https://openalex.org/W2963725558","https://openalex.org/W2963950313","https://openalex.org/W3011631819","https://openalex.org/W3103635433","https://openalex.org/W3155512254","https://openalex.org/W4213060883","https://openalex.org/W4231610975","https://openalex.org/W4237496336","https://openalex.org/W4251616545","https://openalex.org/W6605336043","https://openalex.org/W6640363700","https://openalex.org/W6697822820","https://openalex.org/W6703202075","https://openalex.org/W6731525275","https://openalex.org/W6739352215","https://openalex.org/W6793899047"],"related_works":["https://openalex.org/W3049736453","https://openalex.org/W2072758559","https://openalex.org/W2558154077","https://openalex.org/W2560794719","https://openalex.org/W2963335901","https://openalex.org/W2614006387","https://openalex.org/W2955682224","https://openalex.org/W3100669090","https://openalex.org/W2967410409","https://openalex.org/W3045675243","https://openalex.org/W2578745268","https://openalex.org/W2914982625","https://openalex.org/W3010774866","https://openalex.org/W3101296631","https://openalex.org/W2109033023","https://openalex.org/W2406958501","https://openalex.org/W308187645","https://openalex.org/W3034983612","https://openalex.org/W2949786893","https://openalex.org/W1968635004"],"abstract_inverted_index":{"We":[0,130,178,237],"derive":[1,81],"conditions":[2,82,120,146],"for":[3,83,92,182,220],"monotonicity":[4,84],"properties":[5,85,134],"that":[6,132,161],"characterize":[7],"general":[8,242],"flows":[9,195],"of":[10,51,69,94,97,135,150,171,192,240,249],"a":[11,14,67,175,226,233],"commodity":[12,43],"over":[13],"network,":[15],"where":[16],"the":[17,27,52,59,107,118,136,139,144,148,151,168,180,245],"flow":[18,24,205],"is":[19,61,165],"described":[20],"by":[21,63],"potential":[22,32],"and":[23,34,55,147,185,189,198,215,225,247],"dynamics":[25],"on":[26,78,196,209],"edges,":[28],"as":[29,31,89,91,112,114],"well":[30,90,113],"continuity":[33],"Kirchhoff-Neumann":[35],"mass":[36],"balance":[37],"requirements":[38],"at":[39,49,121,174],"nodes.":[40],"The":[41,212],"transported":[42],"may":[44],"be":[45],"injected":[46],"or":[47],"withdrawn":[48],"any":[50],"network":[53,60,176],"nodes,":[54],"its":[56],"movement":[57],"throughout":[58],"controlled":[62],"nodal":[64],"actuators.":[65],"For":[66],"class":[68],"dissipative":[70],"nonlinear":[71],"parabolic":[72],"partial":[73],"differential":[74],"equation":[75],"(PDE)":[76],"systems":[77],"networks,":[79,197],"we":[80,159],"in":[86,117],"steady-state":[87],"flow,":[88],"propagation":[93],"monotone":[95,163],"ordering":[96,133,164],"states":[98],"with":[99,206],"respect":[100],"to":[101,138,201,232,244],"time-varying":[102,115,152],"boundary":[103,126],"condition":[104],"parameters.":[105],"In":[106],"latter":[108],"case,":[109],"initial":[110,125,145],"conditions,":[111],"parameters":[116,149],"coupling":[119,153],"vertices,":[122],"provide":[123],"an":[124],"value":[127],"problem":[128],"(IBVP).":[129],"prove":[131,160],"solution":[137],"IBVP":[140],"are":[141,155,218],"preserved":[142],"when":[143,162],"law":[154],"appropriately":[156],"ordered.":[157],"Then,":[158],"not":[166],"preserved,":[167],"first":[169],"crossing":[170],"solutions":[172],"occurs":[173],"node.":[177],"consider":[179],"implications":[181],"robust":[183],"optimization":[184],"optimal":[186],"control":[187,246],"formulations":[188],"real-time":[190],"monitoring":[191,216,248],"uncertain":[193],"dynamic":[194],"discuss":[199],"application":[200],"subsonic":[202],"compressible":[203],"fluid":[204],"energy":[207],"dissipation":[208],"physical":[210],"networks.":[211,253],"main":[213],"result":[214,243],"policy":[217],"demonstrated":[219],"gas":[221,251],"pipeline":[222],"test":[223],"networks":[224],"case":[227],"study":[228],"using":[229],"data":[230],"corresponding":[231],"real":[234],"working":[235],"system.":[236],"propose":[238],"applications":[239],"this":[241],"natural":[250],"transmission":[252]},"counts_by_year":[],"updated_date":"2026-02-09T09:26:11.010843","created_date":"2025-10-10T00:00:00"}